What is the Greatest Common Factor of 87472 and 87480?

Greatest common factor (GCF) of 87472 and 87480 is 8.

GCF(87472,87480) = 8

We will now calculate the prime factors of 87472 and 87480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87472 and 87480.

How to find the GCF of 87472 and 87480?

We will first find the prime factorization of 87472 and 87480. After we will calculate the factors of 87472 and 87480 and find the biggest common factor number .

Step-1: Prime Factorization of 87472

Prime factors of 87472 are 2, 7, 11, 71. Prime factorization of 87472 in exponential form is:

87472 = 2⁴ × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 87480

Prime factors of 87480 are 2, 3, 5. Prime factorization of 87480 in exponential form is:

87480 = 2³ × 3⁷ × 5¹

Step-3: Factors of 87472

List of positive integer factors of 87472 that divides 87472 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 71, 77, 88, 112, 142, 154, 176, 284, 308, 497, 568, 616, 781, 994, 1136, 1232, 1562, 1988, 3124, 3976, 5467, 6248, 7952, 10934, 12496, 21868, 43736

Step-4: Factors of 87480

List of positive integer factors of 87480 that divides 87472 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 729, 810, 972, 1080, 1215, 1458, 1620, 1944, 2187, 2430, 2916, 3240, 3645, 4374, 4860, 5832, 7290, 8748, 9720, 10935, 14580, 17496, 21870, 29160, 43740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87472 and 87480. The biggest common factor number is the GCF number.
So the greatest common factor 87472 and 87480 is 8.

Also check out the Least Common Multiple of 87472 and 87480